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Finding the Fourth Proportional to 1,218.42, 1,681.39 and 694.44

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Solution

The fourth proportional to 1,218.42, 1,681.39 and 694.44 is: 958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.42 : 1,681.39 = 694.44 : x
  2. Step 2: Convert to fraction form
    1,218.42/1,681.39 = 694.44/x
  3. Step 3: Cross multiply
    1,218.42x = 1,681.39 × 694.44
  4. Step 4: Simplify right side
    1,218.42x = 1,167,624.47
  5. Step 5: Solve for x
    x = 1,167,624.47/1,218.42
  6. Step 6: Final answer
    x = 958.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.